How many lines go through 4 given lines in 3D?

Hello everybody! Sorry for the lack of upload. As it turns out, applying for PhD programs in Mathematics is more time consuming than it sounds! I hope you enjoy this video about intersecting lines in three dimensions. It may not be incredibly helpful when studying for a calculus exam, but it's a fun problem inspired by a recent course I took titled "Equivariant Cohomology." The tools I learned in the class explain the question in the title with just a few lines of math! I hope you enjoy :)

Here are some links for further reference:
Awesome repository of animations by Frank Sottile:

For people comfortable with some college-level math:

Credits for the incredibly quiet music in the background:
Music from #Uppbeat (free for Creators!):
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[theatomicboy]

until the end when i checked the sub and view count, i thought that this was some big math youtuber that i haven't heard of yet. great work man really well made

[balazs]

Man i bearly even comment on any youtube videos, but i feel i really need to express how i feel about your videos. At first 3Blue1Brown brought me close to mathematics, since then, im obsessed with it. There are many really good YT channels, that introduce interesting topics in this field, but man you're so good. Please keep up the work man, i know you're not as big right now, as you would appreciate it, but if you keep on going, with this style, i bet you will be as big as 3B1B or bigger.
Thank you for your educational content!

[martinmartinmartin]

It s dfficult for me to understand HOW to prove the intercesections of lines in the simplest of cases. Could you give a reference where such a proof can be found?

[quantumgaming]

The video is amazing. Only thing I would complain about is that you didn't write the conclusion theorem in words at the end since I got lost in the pictures

[marvinkoedding]

Is this video inspired by the advent of code exercise? 😅

[debblez]

how are you sampling your random lines? You say its unlikely that there are zero solutions, but it’s not a 0% chance like there being one solution is.